WO2022257461A1 - Procédé et système de mise à jour d'un modèle de pont sur la base d'une correction de la force de couplage véhicule-pont, support de stockage, et dispositif - Google Patents

Procédé et système de mise à jour d'un modèle de pont sur la base d'une correction de la force de couplage véhicule-pont, support de stockage, et dispositif Download PDF

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Publication number
WO2022257461A1
WO2022257461A1 PCT/CN2022/071663 CN2022071663W WO2022257461A1 WO 2022257461 A1 WO2022257461 A1 WO 2022257461A1 CN 2022071663 W CN2022071663 W CN 2022071663W WO 2022257461 A1 WO2022257461 A1 WO 2022257461A1
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WIPO (PCT)
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bridge
vehicle
model
heavy
force
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PCT/CN2022/071663
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English (en)
Chinese (zh)
Inventor
丁勇
张志强
刘剑
周彤
贾献卓
常英
朱斌
陈�光
曾聪
Original Assignee
哈尔滨工业大学
中电建冀交高速公路投资发展有限公司
哈工大(北京)工业技术创新研究院有限公司
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Priority to US17/936,866 priority Critical patent/US20230050445A1/en
Publication of WO2022257461A1 publication Critical patent/WO2022257461A1/fr

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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces

Definitions

  • the invention belongs to the technical field of engineering, in particular to a refined update method, system and equipment for a finite element model of a highway bridge
  • the purpose of the present invention is to solve the problem that there is no refined update method for the bridge model at present, resulting in low simulation accuracy.
  • a bridge model update method based on vehicle-bridge coupling force correction comprising the following steps:
  • the dynamic response of the bridge structure under the load of heavy-duty vehicles is obtained through the sensors arranged on the bridge structure;
  • the dynamic response of the bridge structure obtained by the actual measurement includes the vertical vibration acceleration and vertical deflection of the bridge;
  • a nonlinear finite element model of the bridge structure is established, the vehicle-bridge interaction force is taken as the external force, the dynamic response of the bridge structure is taken as the structural response, and the correction of the finite element model of the bridge structure is completed through the nonlinear parameter identification method.
  • the senor is arranged at a quarter point of each span of the bridge main girder.
  • the measured dynamic response of the bridge structure includes the vertical vibration acceleration and vertical deflection of the bridge. It is necessary to use an interpolation method to obtain the vertical deflection and deformation of the bridge at the center of gravity of the heavy-duty vehicle during the whole process of crossing the bridge. Vertical vibration acceleration.
  • the process of reconstructing the table response of the shaking table and obtaining the interaction force F of the vehicle-bridge coupling model includes the following steps:
  • the correction process of the finite element model of the bridge structure is completed through the nonlinear parameter identification method, and the energy conservation integral method and the UKF method are used to realize, wherein the energy conservation integral method is used to solve the structural dynamics problem, and the UKF method is used to carry out the bridge numerical model renew;
  • the specific process of using the energy conservation integral method to solve the structural dynamics problem includes the following steps:
  • M and C are the mass and damping matrix of the bridge nonlinear system
  • x is the state variable of the state space equation
  • k is the time step
  • F k is the external force of the bridge at time k
  • L is the load position matrix
  • x k are the acceleration, velocity and displacement responses of the bridge structure at time k
  • R k (x) is the nonlinear structural restoring force of the bridge nonlinear system at time k;
  • ⁇ t is the time step
  • k is the time step
  • the system speed of k+1 is the time step expression for:
  • x m , F m and R m are the mean velocity, mean external force and mean restoring force between k and k+1 time steps;
  • Formula (8) is regarded as an energy transfer process, and the energy conservation integral method is used to solve the structural dynamics problem.
  • the bridge nonlinear system damping matrix is a Rayleigh damping matrix:
  • a 1 and a 2 are the Rayleigh damping coefficients, and K is the stiffness matrix.
  • the average velocity, average external force and average restoring force x m , F m and R m between the k and k+1 time steps are as follows:
  • R m (R k+1 +R k )/2
  • a bridge model update system based on vehicle-bridge coupling force correction the system is used to implement a bridge model update method based on vehicle-bridge coupling force correction.
  • a storage medium at least one instruction is stored in the storage medium, and the at least one instruction is loaded and executed by a processor to implement a bridge model update method based on vehicle-bridge coupling force correction.
  • a device the device includes a processor and a memory, at least one instruction is stored in the storage medium, and the at least one instruction is loaded and executed by the processor to implement a bridge model based on vehicle-bridge coupling force correction update method.
  • the present invention is based on the real vehicle-shaking table hybrid test, simulates the bridge structure with a multi-degree-of-freedom shaking table, accurately picks up the vehicle-bridge interaction force, and combines the measured dynamic response of the bridge on this basis, through nonlinear parameter identification means, to complete
  • the basis of analysis is of great practical significance to solve the problem of large-scale transportation audit.
  • Fig. 1 is the updated frame diagram of the bridge model based on vehicle-bridge coupling force correction according to the present invention
  • Fig. 4 is the schematic diagram of vehicle-shaking table test
  • 1 is the heavy-duty vehicle
  • 2 is the measured dynamic response of the bridge
  • 3 is the pressure and shear force measurement version
  • 4 is the vibration table.
  • This embodiment is a bridge model update method based on vehicle-bridge coupling force correction, including the following steps:
  • the dynamic response of the bridge structure under the load of heavy-duty vehicles is obtained through the sensors that have been deployed on the bridge structure.
  • the measured dynamic response of the bridge structure includes the vertical vibration acceleration and deflection of the bridge.
  • the sensor layout position is the main girder of each span of the bridge quarter point.
  • the heavy load in heavy-duty vehicles refers to the "Definition Method for Heavy-Duty and Heavy-Duty Traffic on Cement Concrete Pavement", as shown in Table 1:
  • Figure 2 shows the schematic diagram of the bridge field test.
  • the vertical vibration acceleration a o and vertical deflection y o of the bridge corresponding to the center of gravity o of the heavy-duty vehicle are obtained by difference processing based on adjacent sensor data.
  • Attached Figure 3 shows the acquisition process of the dynamic response of the bridge structure at the center o of the heavy-duty vehicle.
  • the actual number of spans of the bridge is j, and each bridge is divided into 4 units of equal length according to the position of the sensor.
  • the interpolation method obtains the vertical deflection deformation and vertical vibration acceleration of the bridge at the center of gravity of the heavy-duty vehicle during the whole process of the heavy-duty vehicle crossing the bridge.
  • the table response of the shaking table is reconstructed through mixed experiments, so that the reconstructed table surface
  • the vertical displacement and the vertical acceleration of the platform are consistent with y o and a o
  • the horizontal movement speed of the platform is u vehicle
  • its moving direction is opposite to that of the heavy-duty vehicle.
  • the movement of the heavy-duty vehicle is simulated through the relative motion of the vehicle-bridge.
  • the reconstruction is achieved by a hybrid experimental approach in which the experimental substructure is a full-scale heavy-duty vehicle and the numerical substructure is a finite element model of the bridge structure.
  • the bridge is divided into numerical substructures for finite element simulation.
  • the prototype and full-scale heavy-duty vehicle are selected as the test substructure, and the loading is simulated by the shaking table array.
  • the center of gravity of the vehicle is determined according to the type of the heavy-duty vehicle and the counterweight.
  • Response reconstruction is provided to the shaking table as the response quantity, so that the vibration table produces the same dynamic response of the bridge structure as the vehicle passes the bridge.
  • the interaction force of the vehicle-bridge coupling model can be obtained through the force plate; the process of obtaining the interaction force of the vehicle-bridge coupling model through the force plate includes the following steps:
  • the nonlinear finite element model of the bridge structure is established, the vehicle-bridge interaction force is taken as the external force, and the dynamic response of the bridge structure obtained from the actual measurement is taken as the structural response.
  • the correction of the finite element model of the bridge structure is completed, so that the numerical model of the bridge It can truly reflect the actual damage of the bridge and reduce the model error.
  • the vehicle-bridge interaction force F is used as the external excitation of the nonlinear finite element model of the bridge.
  • the specific model update process is as follows:
  • M and C are the mass and damping matrix of the bridge nonlinear system
  • x is the state variable of the state space equation
  • k is the time step
  • F k is the external force of the bridge at time k
  • L is the load position matrix
  • x k are the acceleration, velocity and displacement responses of the bridge structure at time k
  • R k (x) is the restoring force of the nonlinear structure of the bridge nonlinear system at time k
  • the damping of the bridge nonlinear system is Rayleigh damping:
  • a 1 and a 2 are the Rayleigh damping coefficients, and K is the stiffness matrix;
  • the parameters mainly include the physical parameters of important materials of the bridge, especially the constitutive parameters of concrete and steel structures.
  • ⁇ t is the time step length
  • k is the time step.
  • the speed of k+1 time step can be obtained expression for:
  • x m , F m and R m are the mean velocity, mean external force and mean restoring force between k and k+1 time steps;
  • R m (R k+1 +R k )/2
  • x k,m are the average acceleration, average velocity and average displacement response of the bridge structure at time k
  • R k,m (x) is the average restoring force of the nonlinear structure of the bridge nonlinear system at time k
  • F k,m is the The average external force of the axle
  • Formula (8) embodies the energy transfer process in the bridge nonlinear system.
  • the system motion equation always satisfies the principle of energy conservation. Therefore, the energy conservation integral method can be applied to solve structural dynamics problems.
  • the energy conservation integral method can be applied to solve structural dynamics problems.
  • the refined identification of parameters in the nonlinear finite element model of the bridge can be realized, and then the update process of the bridge finite element model can be completed.
  • Equation (9) can also be expressed as Equation (13) in the state space.
  • the discrete observation function can be written as
  • V is the observation noise
  • E[X] is the expectation
  • 2n+1 sampling points can be used to construct the estimated value of the system state vector at k-1 time by the following formula:
  • i and ⁇ are the parameters in the UKF algorithm, and ⁇ is the parameter controlling the distance from each sigma point to the mean.
  • W m is the weight matrix, and there are 2n weight coefficients in total, and n is the number of elements in the state vector; I is the identity matrix, and the dimension is 2n ⁇ 2n; Q k-1 is the k-1 step process of the state equation The covariance matrix of the noise.
  • y k the observation quantity of the kth step.
  • the cyclic recursion operation is carried out to complete the estimation of the state quantity, and the bridge structural parameters are placed in the state quantity.
  • the identification of the nonlinear parameters of the bridge can be realized.
  • the parameters include the physical parameters of the important materials of the bridge, especially Constitutive parameters of concrete and steel structures, such as modulus, Poisson's ratio and other nonlinear constitutive model parameters.
  • the main parameters can be determined through the sensitivity analysis of structural response to model parameters.
  • This embodiment is a bridge model update system based on vehicle-bridge coupling force correction, and the system is used to implement a bridge model update method based on vehicle-bridge coupling force correction.
  • This embodiment is a storage medium, and at least one instruction is stored in the storage medium, and the at least one instruction is loaded and executed by a processor to implement a bridge model update method based on vehicle-bridge coupling force correction.
  • This embodiment is a device, the device includes a processor and a memory, at least one instruction is stored in the storage medium, and the at least one instruction is loaded and executed by the processor to realize a vehicle-bridge coupling force Revised bridge model update method.
  • the present invention can also have other various embodiments, without departing from the spirit and essence of the present invention, those skilled in the art can make various corresponding changes and deformations according to the present invention, but these corresponding changes and deformations are all Should belong to the scope of protection of the appended claims of the present invention.

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Geometry (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • General Physics & Mathematics (AREA)
  • Evolutionary Computation (AREA)
  • General Engineering & Computer Science (AREA)
  • Architecture (AREA)
  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Control Of Driving Devices And Active Controlling Of Vehicle (AREA)
  • Bridges Or Land Bridges (AREA)
  • Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)

Abstract

L'invention concerne un procédé et un système de mise à jour d'un modèle de pont sur la base d'une correction de la force de couplage véhicule-pont, un support de stockage et un dispositif, qui font partie du domaine technique de l'ingénierie. Le but de la présente invention est de résoudre le problème de faible précision de simulation en raison du fait qu'il n'existe actuellement pas de procédé affiné pour mettre à jour un modèle de pont. Le procédé selon la présente invention comprend les étapes suivantes : obtention, au moyen d'un capteur disposé sur une structure de pont, d'une réponse dynamique (2) de la structure de pont sous la charge d'un véhicule lourd (1) ; en fonction de l'accélération vibratoire verticale ao et de la déviation verticale yo du pont au centre de gravité o du véhicule lourd (1) ainsi que de la vitesse uvéhicule du véhicule lourd (1), reconstitution d'une réponse d'une table vibrante (4) et obtention de la force d'interaction d'un modèle de couplage véhicule-pont ; et établissement d'un modèle d'éléments finis non linéaires de la structure du pont, en utilisant la force d'interaction véhicule-pont comme force externe, en utilisant la réponse dynamique de la structure du pont (2) comme réponse structurelle et en corrigeant le modèle d'éléments finis de la structure du pont en utilisant une méthode d'identification des paramètres non linéaires. La présente invention est principalement utilisée pour la mise à jour d'un modèle de pont.
PCT/CN2022/071663 2021-06-09 2022-01-12 Procédé et système de mise à jour d'un modèle de pont sur la base d'une correction de la force de couplage véhicule-pont, support de stockage, et dispositif WO2022257461A1 (fr)

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